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An Effective Lagrangian with Broken Scale and Chiral Symmetry Applied to Nuclear Matter and Finite Nuclei

1993/08/02 by E. K. Heide, S. Rudaz, P. J. Ellis · 1 citation
Physics and Astronomy · #nucl-th

paper · pdf · doi:10.1016/0375-9474(94)90717-x

published as Nucl.Phys. A571 (1994) 713-732 · 25 pages, NUC-MINN-93/21-T (7 figures in postscript obtainable from authors)

arxiv created 1993/08/02 · arxiv updated 2009/12/01

Abstract

We study nuclear matter and finite nuclei with a chiral Lagrangian which generalizes the linear σ model and also accounts for the QCD trace anomaly by means of terms which involve the σ and \vmgπ fields as well as the glueball field ϕ. The form of the scale invariant term leading to an omega meson mass, after symmetry breaking, could involve coupling to ϕ2 or σ2 or some linear combination thereof. In fact an ωμωμϕ2 form is strongly favored by the bulk properties of nuclei, which also rather strongly constrain the other parameters. A reasonable description of the closed shell nuclei oxygen, calcium and lead can be achieved, although the spin-orbit splittings are somewhat smaller than the experimental values.

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